Question

if ZDAB = 60°, ZABD = 50°, then ZACB is equal to:
(A) 60°
(B) 50°
(C) 70°
(D) 80°​

Answer 1

Answer:

option (c) 70°

Step-by-step explanation:

In △ADC, we have

∠DAC=60° and ∠ABD=50°  

By angle sum property, in △ABD

∠DAB+∠ABD+∠ADB=180°    

=>60°  +50°  +∠ADB=180  °  

=>∠ADB=180°  −110°

 =>∠ADB=70°

 We know that the angles subtended at the circumference by the same arc are equal.

∴∠ADB=∠ACB

=>∠ACB=70°